The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 58 cm.
- Find the perimeter of the shaded figure. (Take π = 3.14)
- Find the shaded area of this figure. (Take π = 3.14)
(a)
Circumference of the small circle
= 3.14 x 58
= 182.12 cm
Diameter of the big quadrant
= 58 x 2
= 116 cm
Circumference of the big quadrant
= 3.14 x 116 x
14= 91.06 cm
Perimeter of the shaded figure
= 182.12 + 91.06
= 273.18 cm
(b)
Area of the big quadrant
= 3.14 x 58 x 58 x
14 = 2640.74 cm
2 Area of the triangle
=
12 x 58 x 58
= 1682 cm
2 Area of shaded area
= 2640.74 - 1682
= 958.74 cm
2 Answer(s): (a) 273.18 cm; (b) 958.74 cm
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